I don't use Evernote so I rarely know how good or bad this app would be.
I do use a lot of OneNote, maybe because I have installed this app on all of my devices (Mac OS X, Windows, iOS).
For me, Notes does changed quite a lot in this version, which is gorgeous.
However, when you draw a sketch, you still cannot write "anywhere as you want". What is this? In OneNote, you can use stylus to write on the screen, and drag your writing area to anywhere possible, literally. Notes app limits you to draw in your tiny iPhone screen (I say iPhone 6 Plus), or a small enough screen on iPad Air 2.
This one may not be considered as a lack of function, because OneNote has 200+ MB while Notes only has about 10MB. But other functionality such as OCR, would surely be a professional killer at all.
I often hope I can get a Windows tablet, and use that tablet as my notes tablet, which is much easier than using finger to draw sketches. I really Don't agree what Steve Jobs said "Do we need a stylus?". For natural writing, pen is Always better than your hand, and finger.